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Finding the Fourth Proportional to 12,806.56, 17,673 and 7,141.24

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Solution

The fourth proportional to 12,806.56, 17,673 and 7,141.24 is: 9,854.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.56 : 17,673 = 7,141.24 : x
  2. Step 2: Convert to fraction form
    12,806.56/17,673 = 7,141.24/x
  3. Step 3: Cross multiply
    12,806.56x = 17,673 × 7,141.24
  4. Step 4: Simplify right side
    12,806.56x = 126,207,134.52
  5. Step 5: Solve for x
    x = 126,207,134.52/12,806.56
  6. Step 6: Final answer
    x = 9,854.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.